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109年 - 109 國立中山大學_碩士班招生考試_資工系(乙組)：工程數學#105759
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題組內容
II. The four eigenvalue of a 4x4 matrix A are 1, 1, 2, and 3. Please determine the correctness of the following descriptions.
9. The determinant of the adjoint matrix At is 6.
其他申論題
5. The orthogonality is not the property of the DFT matrix.
#450116
6. The determinant of A is 6.
#450117
7. The trace of A is 7.
#450118
8. The rank(A-1)=3, where I is the 4x4 identity matrix.
#450119
10. The matrix A is a simple matrix.
#450121
11. The row space of A is equal to the row space of B.
#450122
12. The column space of A is equal to the column space of B.
#450123
13. The null space of A is equal to the null space of B.
#450124
14. The rank(A) is equal to the rank(B).
#450125
15. The determinant of A is equal to the determinant of B.
#450126
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